Double Circulant Self-dual Codes on Sextic Cyclotomy

06/14/2020
by   Tongjiang Yan, et al.
0

This paper contributes to construct double circulant self-dual codes by sextic cyclotomy. Generator matrixes of a family of pure double circulant codes and a family of double circulant codes with boundary are formed from sextic cyclotomic classes. These codes are proved to be self-dual on certain conditions. Moreover, experiments show that some of them are optimal self-dual codes or best than ever codes over GF(2) and GF(4).

READ FULL TEXT

page 1

page 2

page 3

page 4

research
11/14/2019

Double Circulant Self-Dual Codes From Generalized Cyclotomic Classes of Order Two

In this paper, constructions of some double circulant self-dual codes by...
research
11/14/2019

Double Circulant Self-Dual Codes From Generalized Cyclotomic Classes Modulo 2p

In this paper, constructions of some double circulant self-dual codes by...
research
02/18/2021

On isodual double Toeplitz codes

Double Toeplitz (shortly DT) codes are introduced here as a generalizati...
research
01/20/2018

Double circulant self-dual and LCD codes over Galois rings

This paper investigates the existence, enumeration and asymptotic perfor...
research
02/15/2019

On Double-Sided QR-Codes

Due to the widespread adoption of the smart mobile devices, QR codes hav...
research
11/23/2020

Detection of Double-Nuclei Galaxies in SDSS

It is now well established that galaxy interactions and mergers play a c...
research
11/09/2018

On isodual double polycirculant codes

Double polycirculant codes are introduced here as a generalization of do...

Please sign up or login with your details

Forgot password? Click here to reset